all Space and shape worksheets

Perimeter and area compared

The perimeter is the distance all the way around the outside of a 2D shape. Area is the amount of space a surface takes up. We measure area in square units. Can you answer these questions (it may help you to draw these shapes on centimetre-squared paper)?

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Parts of a circle

Here is a picture of a circle. Its centre is marked with a red dot. Can you measure the circle’s radius, diameter and circumference?

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Formulas for calculating area and volume of shapes

The quickest way to find the area of a 2D shape is to use a formula. Can you use the right formula to find the areas of these shapes? With 3D shapes we can also find the volume, which means the quantity of space taken up by the shape. Can you use the right formula to find the volumes of these cuboids?

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Calculating the area of parallelograms and triangles

To work out the area of a triangle, we use the formula: area = ½ x base x height. See if you can calculate the areas of these triangles.

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Reflecting, rotating and translating shapes

Can you draw this shape’s reflection in the mirror line?

Estimating angles

Some of these angles are acute, some are obtuse. Decide which they are, then write an estimate for how many degrees you think each one measures. Measure them with a protractor to see if you were right

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Properties of 3D shapes

These four shapes fit in the column on the left. Can you draw them in the correct places and name them? If you’d like to count the faces yourself, use a net of each of the shapes to make a 3D shape you can hold.

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Calculating the perimeter and area of irregular shapes

Once you know how to find the area of a rectangle, you can use this knowledge to find the area of irregular, compound shapes as long as they are made up of rectangles or squares. Can you calculate the area and perimeter of the shapes below?

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Parallel and perpendicular lines in 2D shapes

Parallel lines are always the same distance apart. Perpendicular lines are at right angles to each other. Can you put these shapes into the correct place in the Carroll diagram?

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Angles in a triangle

The three inside angles in a triangle always add up to 180 degrees. Can you work out what the following angles are, WITHOUT a protractor?

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Drawing angles

Protractors at the ready! Measure these angles then draw the correct answers to these word problems.

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Angles around a point

A full turn is 360 degrees, so the angles around a point always add up to 360 degrees. Can you look at these diagrams and work out what the missing angles are, WITHOUT using a protractor?

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Translating a shape

Translating a shape means moving it up or down or sideways without it changing shape or size. This shape needs to be translated 4 squares right and 3 squares up. Can you redraw it in its new location?

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Reflecting a shape

Something is symmetrical when both sides of it are the same when cut in half. The line down the middle of a symmetrical shape is called the line of symmetry or mirror line. Can you draw this shape reflected in the mirror line?

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Calculating perimeter

Imagine an ant crawling around the outside of a shape. The distance the ant walks is the shape’s perimeter. Can you measure the sides of these shapes by counting the squares and work out their perimeters?

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Calculating area

Area is the name we use for the amount of space a surface takes up. You could measure the area of a small space like a table or a big space like the school field. We measure area in square units. Can you calculate the area of these shapes?

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Calculating angles on a straight line

Angles on a straight line will always add up to 180 degrees. Can you work out what the missing angles are? Don’t try to measure them with a protractor – they are deliberately not drawn correctly!

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Symmetry explained

Something is symmetrical when it is the same on both sides. Can you make this butterfly symmetrical by drawing the same patterns on its wings on both sides?

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Finding cubes and cuboids

Do you know the difference between a cube and a cuboid? Ask your mum or dad to help you find objects shaped like a cube and a cuboid. Now take them around your house and look for more cubes and cuboids! Draw the objects you find in the table.

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